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4245857441001 = 32114127116132393
BaseRepresentation
bin111101110010010000110…
…100110001010011101001
3120000220022002211202102100
4331302100310301103221
51024031004001103001
613010304152124013
7615516206530311
oct75622064612351
916026262752370
104245857441001
111397726921a40
12586a61096609
1324a4c8870b87
141097018cc441
15756a028e586
hex3dc90d314e9

4245857441001 has 96 divisors (see below), whose sum is σ = 6886054715904. Its totient is φ = 2498625792000.

The previous prime is 4245857440997. The next prime is 4245857441093. The reversal of 4245857441001 is 1001447585424.

4245857441001 is a `hidden beast` number, since 4 + 2 + 458 + 57 + 44 + 100 + 1 = 666.

4245857441001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4245857441001 - 22 = 4245857440997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4245857441101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1774281061 + ... + 1774283453.

It is an arithmetic number, because the mean of its divisors is an integer number (71729736624).

Almost surely, 24245857441001 is an apocalyptic number.

4245857441001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4245857441001 is a deficient number, since it is larger than the sum of its proper divisors (2640197274903).

4245857441001 is a wasteful number, since it uses less digits than its factorization.

4245857441001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335 (or 4332 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 4245857441001 in words is "four trillion, two hundred forty-five billion, eight hundred fifty-seven million, four hundred forty-one thousand, one".

Divisors: 1 3 9 11 33 41 99 123 271 369 451 813 1353 1613 2393 2439 2981 4059 4839 7179 8943 11111 14517 17743 21537 26323 26829 33333 53229 66133 78969 98113 99999 122221 159687 198399 236907 294339 366663 437123 595197 648503 727463 883017 1079243 1099989 1311369 1945509 2182389 3237729 3859909 3934107 4808353 5836527 6547167 7133533 9713187 11579727 14425059 17922043 21400599 26588623 34739181 42458999 43275177 53766129 64201797 79765869 127376997 158256269 161298387 197142473 239297607 292474853 382130991 474768807 591427419 877424559 1046035339 1424306421 1740818959 1774282257 2632273677 3138106017 5222456877 9414318051 11506388729 15667370631 34519166187 42887448899 103557498561 128662346697 385987040091 471761937889 1415285813667 4245857441001